Spinor norm for skew-hermitian forms over quaternion algebras
Author
dc.contributor.author
Arenas Carmona, Luis
Author
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Quiroz Herrera, Patricio
Admission date
dc.date.accessioned
2015-07-31T15:24:20Z
Available date
dc.date.available
2015-07-31T15:24:20Z
Publication date
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2015
Cita de ítem
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Journal ofNumberTheory151(2015)159–171
en_US
Identifier
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0022-314X
Identifier
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doi: 10.1016/j.jnt.2014.12.011
Identifier
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https://repositorio.uchile.cl/handle/2250/132298
General note
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Artículo de publicación ISI
en_US
Abstract
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We complete all local spinor norm computations for quater-nionic skew-hermitian forms over the field Qof rational num-bers. This can be used to compute the number of classes in a genus of skew-hermitian lattices of rank 2or larger over a max-imal order in a quaternion algebra Dover Qin many cases, e.g., when Dramifies at infinity. Examples are provided